Question

A rectangular box is to have a square base and a volume of 16 ft3. If...

A rectangular box is to have a square base and a volume of 16 ft3. If the material for the base costs $0.14/ft2, the material for the sides costs $0.06/ft2, and the material for the top costs $0.10/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.)

A closed rectangular box has a length of x, a width of x, and a height of y.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

PLEASE LIKE IT RAISE YOUR THUMBS UP

IF YOU ARE HAVING ANY DOUBT FEEL FREE TO ASK IN COMMENT SECTION

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Minimizing Packaging Costs A rectangular box is to have a square base and a volume of...
Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.28/ft2, the material for the sides costs $0.10/ft2, and the material for the top costs $0.22/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.) A closed rectangular box has a length of x, a width of x, and a height of y. x...
A rectangular box is to have a square base and a volume of 20 ft3. If...
A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.37/ft2, the material for the sides costs $0.10/ft2, and the material for the top costs $0.13/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost.
A rectangular box is to have a square base and a volume of 20 ft3. If...
A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.17/ft2, the material for the sides costs $0.06/ft2, and the material for the top costs $0.13/ft2, (a) determine the dimensions (in ft) of the box that can be constructed at minimum cost. (b) Which theorem did you use to find the answer?
A rectangular box is to have a square base and a volume of 40 ft^3. If...
A rectangular box is to have a square base and a volume of 40 ft^3. If the material for the base costs $0.36/ft^2, the material for the sides costs $0.05/f^2, and the material for the top costs $0.14/ft^2, determine the dimensions of the box that can be constructed at minimum cost. length____ft width____ ft height________ ft
A rectangular box is to have a square base and a volume of 48 ft3. If...
A rectangular box is to have a square base and a volume of 48 ft3. If the material for the base costs 4 cents per square foot, material for the top costs 20 cents per square foot, and the material for the sides costs 16 cents per square foot, determine the dimensions of the square base (in feet) that minimize the total cost of materials used in constructing the rectangular box.
A rectangular box is to have a square base and a volume of 45 ft3. If...
A rectangular box is to have a square base and a volume of 45 ft3. If the material for the base costs 14 cents per square foot, material for the top costs 6 cents per square foot, and the material for the sides costs 6 cents per square foot, determine the dimensions of the square base (in feet) that minimize the total cost of materials used in constructing the rectangular box.
A rectangular box must have a volume of 2 cubic meters. The material for the base...
A rectangular box must have a volume of 2 cubic meters. The material for the base and top costs $ 2 per square meter. The material for the vertical sides costs $ 8 per square meter. (a) Express the total cost of the box in terms of the length (l) and width (w) of the base. C = $ (b) Find the dimensions of the box that costs least. length = meters width = meters height = meters
Minimizing Heating and Cooling Costs A building in the shape of a rectangular box is to...
Minimizing Heating and Cooling Costs A building in the shape of a rectangular box is to have a volume of 6,144 ft3 (see the figure). It is estimated that the annual heating and cooling costs will be $2/ft2 for the top, $4/ft2 for the front and back, and $3/ft2 for the sides. Find the dimensions of the building that will result in a minimal annual heating and cooling cost. What is the minimal annual heating and cooling cost? The base...
A rectangular box with a square base has a volume of 4 cubic feet. If x...
A rectangular box with a square base has a volume of 4 cubic feet. If x is the side length of the square base, and y is the height of the box, find the total cost of the box as a function of one variable The material for the bottom of the box costs $3 per square foot, the top costs $2 per square foot, and the four sides cost $5 per square foot. If x is the side length...
A rectangular box with a square base has a volume of 4 cubic feet. The material...
A rectangular box with a square base has a volume of 4 cubic feet. The material for the bottom of the box costs $3 per square foot, the top costs $2 per square foot, and the four sides cost $5 per square foot. (a) If x is the side length of the square base, and y is the height of the box, find the total cost of the box as a function of one variable. (b) Find the critical number...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT